Question

What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 centimeters?

Answer 1

length=12 cm, width=6 cm

Step-by-step Step-by-step explanation:

`lw = 72`

`w = (72)/(l)`

`2(l + w) = 36`

`l + w = 18`

`l + (72)/(l) = 18`

`{l}^(2) + 72 = 18l`

`{l}^(2) - 18l + 72 = 0`

`(l - 12)(l - 6) = 0`

`l = 12`

`w = 6`